The number of dogs at the shelter is a 2 digit, odd number. It is more than 80. The tens digits is less than the ones digit. The sum of the digits is 17. How m

Question

How many Dogs are in the shelter?

Answer 1

Since the number is 2 digits and greater than 80, it must be between 80 and 100. Only 2 digits add up to 17, 9 and 8. Since the number is odd, it can only be 89.

Answer 2

Let the numbert be 10x+y 

 

x+y=17 and  y is an odd digit so it can be  in the set {1,3,5,7,9} 

 

Among the possibilities y only can be 9 so that x is less than 10

 

x=17-9=8

 

So the number is 89!!!!!!!!!!!!!!!!!!!!!